On the existence of a solution to a spectral estimation problem \`a la Byrnes-Georgiou-Lindquist
Abstract
A parametric spectral estimation problem in the style of Byrnes, Georgiou, and Lindquist was posed in FPZ-10, but the existence of a solution was only proved in a special case. Based on their results, we show that a solution indeed exists given an arbitrary matrix-valued prior density. The main tool in our proof is the topological degree theory.
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